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Finding the Fourth Proportional to 704.19, 1,056.62 and 379.51

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Solution

The fourth proportional to 704.19, 1,056.62 and 379.51 is: 569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.19 : 1,056.62 = 379.51 : x
  2. Step 2: Convert to fraction form
    704.19/1,056.62 = 379.51/x
  3. Step 3: Cross multiply
    704.19x = 1,056.62 × 379.51
  4. Step 4: Simplify right side
    704.19x = 400,997.86
  5. Step 5: Solve for x
    x = 400,997.86/704.19
  6. Step 6: Final answer
    x = 569.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.